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d-powerful n.  and  inconsummate n.

First numbers that belong to both sets:

63, 371, 372, 377, 1326, 1542, 2372, 2376, 2537, 2577, 2597, 2753, 3147, 3237, 3254, 3255, 3257, 3294, 3324, 3437, 3477, 3657, 3692, 3706, 3726, 3746, 3749, 3764, 3765, 3786, 3941, 3942, 3945, 4151, 4152, 4154, 4155, 4157, 4194, 4209, 4241, 4242, 4246, 4260, 4262, 4263, 4264, 4265, 4266, 4268, 4269, 4316, 4352, 4353, 4373, 4572, 4599, 4649, 4826, 4869, 4932, 4952, 4953, 4956, 5232, 5342, 5343, 5453, 5562, 5877, 7032, 7632, 8201, 8202, 8204, 8205, 8262, 8376, 8712, 8756, 8972, 8976, 9237, 9272, 9273, 9342, 9947, 10322, 14369, 14697, 15423, 16430, 16437, 17445, 17737, 20355, 20372, 21417, 22025, 22376, 22593, 22643, 23076, 23237, 23292, 23325, 23477, 23637, 23657, 23697, 23837, 24737, 24755, 24759, 24792, 24996, 25127, 25214, 25254, 25257, 25322, 25367, 25431, 25434, 25437, 25439, 25473, 25476, 25479, 25637, 25659, 25677, 25764, 25872, 26153, 26393, 26426, 26537, 26807, 27237, 27362, 27365, 27617, 27747, 28260, 28263, 28332, 28395, 28554, 28593, 28731, 28733, 28736, 28737, 29232, 29253, 29259, 29324, 29369, 29385, 29435, 29543, 29853, 30344, 30347, 30348, 32072, 32325, 32327, 32364, 32492, 32525, 32528, 32562, 32565, 32588, 32637, 32781, 32787, 32810, 32811, 32813, 32814, 32817, 32831, 32832, 32837, 32838, 32859, 32873, 32874, 32877, 32891, 32892, 32894, 32897, 32898, 32903, 32907, 32922, 32924, 32927, 32940, 32942, 32946, 32948, 32949, 32981, 32984, 32985, 32987, 33029, 33068, 33084, 33087, 33224, 33225, 33227, 33228, 33242, 33264, 33267, 33284, 33372, 33486, 33648, 33752, 33884, 33992, 34217, 34254, 34274, 34292, 34296, 34322, 34366, 34367, 34439, 34526, 34677, 34698, 34727, 34766, 34852, 34874, 34922, 34947, 34985, 34987, 35022, 35081, 35087, 35088, 35226, 35427, 35447, 35487, 35885, 35912, 35930, 35937, 36122, 36237, 36254, 36258, 36275, 36277, 36294, 36296, 36324, 36327, 36348, 36368, 36417, 36435, 36437, 36438, 36454, 36457, 36472.

Some larger examples :